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Brno University of Technology

1. Daniel, Martin. Optimalizace v řízení dynamických systémů: Optimization in control systems.

Degree: 2019, Brno University of Technology

Master’s thesis deals with using a linear matrix inequality (LMI) in control of a dynamic systems. We can define a stability of a dynamic system with a LMI. We can use a LMI for research if the poles of a system are in a given regions in the left half-plane of the complex plane with a LMI or we can use a LMI for a state feedback control. In the work we describe a desing of a controller minimizing a norm from an input to an output of the system. There is also a desing of a LQ controller with a LMI. In the end of the work, there are two examples of a design a LQ controller, which minimize the norm from the input to the output of the system and moves a poles of a dynamic system in a given regions in the complex plane, with the LMI. We use a LMI for a design a continuos LQ controller in the first example. In the second example we use a LMI for a design a discrete LQ controller. Advisors/Committee Members: Pohl, Lukáš (advisor), Václavek, Pavel (referee).

Subjects/Keywords: optimalizace; Ljapunovova stabilita; stabilita systému; LMI; lineární maticová nerovnost; Matlab; cvx; YALMIP; Robust Control toolbox; stavová zpětná vazba; norma; LQ regulátor; LQR; optimization; Lyapunov stability; system stability; LMI; linear matrix inequality; Matlab; cvx; YALMIP; Robust Control toolbox; state feedback; norm; LQ regulator; LQR

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Daniel, M. (2019). Optimalizace v řízení dynamických systémů: Optimization in control systems. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/65096

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Daniel, Martin. “Optimalizace v řízení dynamických systémů: Optimization in control systems.” 2019. Thesis, Brno University of Technology. Accessed September 20, 2020. http://hdl.handle.net/11012/65096.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Daniel, Martin. “Optimalizace v řízení dynamických systémů: Optimization in control systems.” 2019. Web. 20 Sep 2020.

Vancouver:

Daniel M. Optimalizace v řízení dynamických systémů: Optimization in control systems. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2020 Sep 20]. Available from: http://hdl.handle.net/11012/65096.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Daniel M. Optimalizace v řízení dynamických systémů: Optimization in control systems. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/65096

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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